Question

a town was considering a new tax to fund a recycling program. residents were randomly surveyed about whether they supported the tax. the results are shown below in the conditional relative frequency table by column.

	support	against	total
male	80%	27%	44%
total	100%	100%	100%

what conclusion can you draw about the conditional relative frequency of the results?

• there is no association between supporting the tax and gender.
• a resident in the group who supports the tax is likely to be female.
• a resident in the group who supports the tax is likely to be male.

Explanation:

To determine the conclusion, we analyze the conditional relative frequencies in the "Support" column. For the "Support" column, females have a 20% relative frequency and males have 80%. Since 80% (male) is greater than 20% (female), a resident in the group who supports the tax is more likely to be male. We also check the association: the percentages for support (20% female, 80% male) and against (74% female, 27% male) are different, so there is an association, eliminating the first option. The second option is incorrect as males have a higher frequency in the support group.

Answer:

A resident in the group who supports the tax is likely to be male. (The corresponding option: A resident in the group who supports the tax is likely to be male.)